Hypergeometric reproducing kernels and analytic continuation from a half-line

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dc.creatorKarp, Dmitry B.
dc.date1999-08-24
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:34:31Z
dc.date.available2026-07-07T06:34:31Z
dc.descriptionIndefinite inner product spaces of entire functions and functions analytic inside a disk are considered and their completeness studied. Spaces induced by the rotation invariant reproducing kernels in the form of the generalized hypergeometric function are completely characterized. A particular space generated by the modified Bessel function kernel is utilized to derive an analytic continuation formula for functions on $R^+$ using the best approximation theorem of S. Saitoh. As a by-product several new area integrals involving Bessel functions are explicitly evaluated
dc.identifierhttps://arxiv.org/abs/math/9908129
dc.identifierhttp://arxiv.org/abs/math/9908129
dc.identifierJournal of Integral Transforms and Special Functions, vol.14, no.6, 2003, pp. 485 - 498
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99550
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject46E22, 46E50, 30B40
dc.titleHypergeometric reproducing kernels and analytic continuation from a half-line
dc.typetext

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